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Simplifying 3(2p + -4) = 4p + 6 Reorder the terms: 3(-4 + 2p) = 4p + 6 (-4 * 3 + 2p * 3) = 4p + 6 (-12 + 6p) = 4p + 6 Reorder the terms: -12 + 6p = 6 + 4p Solving -12 + 6p = 6 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -12 + 6p + -4p = 6 + 4p + -4p Combine like terms: 6p + -4p = 2p -12 + 2p = 6 + 4p + -4p Combine like terms: 4p + -4p = 0 -12 + 2p = 6 + 0 -12 + 2p = 6 Add '12' to each side of the equation. -12 + 12 + 2p = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 2p = 6 + 12 2p = 6 + 12 Combine like terms: 6 + 12 = 18 2p = 18 Divide each side by '2'. p = 9 Simplifying p = 9
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